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Finding the Fourth Proportional to 7,774.65, 11,652.26 and 6,124.68

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Solution

The fourth proportional to 7,774.65, 11,652.26 and 6,124.68 is: 9,179.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.65 : 11,652.26 = 6,124.68 : x
  2. Step 2: Convert to fraction form
    7,774.65/11,652.26 = 6,124.68/x
  3. Step 3: Cross multiply
    7,774.65x = 11,652.26 × 6,124.68
  4. Step 4: Simplify right side
    7,774.65x = 71,366,333.15
  5. Step 5: Solve for x
    x = 71,366,333.15/7,774.65
  6. Step 6: Final answer
    x = 9,179.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.